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Finding the Fourth Proportional to 77,249.60, 115,874.40 and 32,877.80

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Solution

The fourth proportional to 77,249.60, 115,874.40 and 32,877.80 is: 49,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.60 : 115,874.40 = 32,877.80 : x
  2. Step 2: Convert to fraction form
    77,249.60/115,874.40 = 32,877.80/x
  3. Step 3: Cross multiply
    77,249.60x = 115,874.40 × 32,877.80
  4. Step 4: Simplify right side
    77,249.60x = 3,809,695,348.32
  5. Step 5: Solve for x
    x = 3,809,695,348.32/77,249.60
  6. Step 6: Final answer
    x = 49,316.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.